Title
Tilings Described By Iterated Maps
Abstract
We construct auto-similar tilings of the plane with the same expansion coefficient lambda is an element of C, a complex Perron number, from free group endomorphisms characterized by a class of matrices with the same complex Perron eigenvalue lambda. We define a relation between the interior and the board of the tiles and obtain some results about topological invariants of the tilings.
Year
DOI
Venue
2003
10.1142/S021812740300776X
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
tilings, topological entropy, substitution systems, complex Perron numbers
Journal
13
Issue
ISSN
Citations 
7
0218-1274
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
J. Leonel Rocha145.33
J. Sousa Ramos213.55